112381413516400 has 120 divisors (see below), whose sum is σ = 308616695045120. Its totient is φ = 38524596468480.

The previous prime is 112381413516353. The next prime is 112381413516401. The reversal of 112381413516400 is 4615314183211.

It is a super-2 number, since 2×112381413516400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112381413516401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14279161 + ... + 20704039.

Almost surely, 2^{112381413516400} is an apocalyptic number.

112381413516400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112381413516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154308347522560).

112381413516400 is an abundant number, since it is smaller than the sum of its proper divisors (196235281528720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112381413516400 is a wasteful number, since it uses less digits than its factorization.

112381413516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431151 (or 6431140 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

Adding to 112381413516400 its reverse (4615314183211), we get a palindrome (116996727699611).

The spelling of 112381413516400 in words is "one hundred twelve trillion, three hundred eighty-one billion, four hundred thirteen million, five hundred sixteen thousand, four hundred".